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122000002010000 = 245416374846627
BaseRepresentation
bin11011101111010101010110…
…110010000100101110010000
3120222222002022220102000002222
4123233111112302010232100
5111442322001003310000
61111250005513000212
734461131531603252
oct3357252662045620
9528862286360088
10122000002010000
1135966a01668154
12118245019b3068
13530c721215b9a
14221ab8dcc3cd2
15e187778cda85
hex6ef556c84b90

122000002010000 has 100 divisors (see below), whose sum is σ = 297186320523312. Its totient is φ = 48500613648000.

The previous prime is 122000002009979. The next prime is 122000002010009. The reversal of 122000002010000 is 10200000221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 122000002010000.

It is not an unprimeable number, because it can be changed into a prime (122000002010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35793314 + ... + 39053313.

Almost surely, 2122000002010000 is an apocalyptic number.

122000002010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122000002010000 is an abundant number, since it is smaller than the sum of its proper divisors (175186318513312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122000002010000 is an equidigital number, since it uses as much as digits as its factorization.

122000002010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74846818 (or 74846797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 122000002010000 its reverse (10200000221), we get a palindrome (122010202010221).

The spelling of 122000002010000 in words is "one hundred twenty-two trillion, two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 163 200 250 326 400 500 625 652 815 1000 1250 1304 1630 2000 2500 2608 3260 4075 5000 6520 8150 10000 13040 16300 20375 32600 40750 65200 81500 101875 163000 203750 326000 407500 815000 1630000 74846627 149693254 299386508 374233135 598773016 748466270 1197546032 1496932540 1871165675 2993865080 3742331350 5987730160 7484662700 9355828375 12200000201 14969325400 18711656750 24400000402 29938650800 37423313500 46779141875 48800000804 61000001005 74846627000 93558283750 97600001608 122000002010 149693254000 187116567500 195200003216 244000004020 305000005025 374233135000 488000008040 610000010050 748466270000 976000016080 1220000020100 1525000025125 2440000040200 3050000050250 4880000080400 6100000100500 7625000125625 12200000201000 15250000251250 24400000402000 30500000502500 61000001005000 122000002010000